Using a hybrid CA based model for a flexible qualitative qubit simulation: Fully frustrated Josephson Junction Ladder (JJL) application

2005 Computing Frontiers Conference

Volumn , Issue , 2005, Pages 145-151

  Calidonna, Claudia R ^a   Naddeo, Adele ^b  

^a CNR   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Cellular Automata; Josephson Junction Ladders; Programming Model; Quantum Computing; Qubit

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; QUANTUM THEORY;

CELLULAR AUTOMATA; PROGRAMMING MODEL; QUANTUM COMPUTING; QUBIT;

JOSEPHSON JUNCTION DEVICES;

EID: 33644659530     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1062261.1062287     Document Type: Conference Paper

References (25)

1. Y. M Blanter, R. Fazio, G. Schon. Duality in Josephson junction arrays. Nucl.Phys. B, (S58): 79-90, 1997.
2. C. R. Calidonna, C. Di Napoli, M. Mango Furnari. Parallelism Management in Cellular Automata Networks. Computational Engineering using Metaphors from Nature, pages 199-205, Civil-Comp Press, 2000.
3. C. R. Calidonna, C. Di Napoli, M. Giordano, M. Mango Furnari. Exploring Multi-level Parallelism in Cellular Automata Networks. Proceedings of 3 International Symposium ISHPC 2000, pages 336-343, Springer-Verlag, Berlin, 2000.
4. C.R. Calidonna. The CAN2 model:a CA hybrid model derived by micro and macroscopic complex phenomena observation, R.I 156/04, Istituto di Cibernetica C.N.R., May 2004.
5. C.R. Calidonna, A. Naddeo. Towards a CA model for quantum computation with fully frustrated linear Josephson junction arrays. Phys. Lett. A (327):409-415, 2004.
6. G. Cristofano, V. Marotta, A. Naddeo, G. Niccoli. A conformal field theory description of magnetic flux fractionalization in Josephson junction ladders, submitted to Nuclear Physics B, hep-th/0404048v2, 2004.
7. S. Di Gregorio, R. Serra. An empirical method for modelling and simulating some complex macroscopic phenomena by cellular automata, Fut. Gen. Comp. Sys., (16):259-271, 1999.
8. C. Di Napoli, M. Giordano, M. Mango Furnari, F. Mele, R. Napolitano. CANL: a Language for Cellular Automata Network Modeling, Proceedings, of Parcella 96 - Seventh International Workshop on Parallel Processing by Cellular Automata and Arrays, pages 16-20, Springer Verlag, 1996.
9. B. Doucot, F. V. Feigel'man, L. B. Ioffe. Topological order in the insulating Josephson junction array. Phys. Rev. Lett. (90): 100501-100504, 2003.
10. A. Ekert, R. Jozsa. Quantum computation and Shor's factoring algorithm. Rev.Mod.Phys., (68):733-753, 1996.
11. A. Galindo, M. A. Martin-Delgado. Information and Computation: classical and quantum aspects. Rev.Mod.Phys., (74):347-423, 2002.
12. E. Granato. Phase transitions in Josephson-junction ladders in a magnetic field. Phys. Rev. B, (42):4797-4799, 1990.
13. E. Granato. Phase transitions in the one-dimensional frustrated quantum XY model and Josephson-junction ladders. J. Appl. Phys. (75):6960-6962, 1994.
14. E. Goldobin, D. Koelle, R. Kleiner. Semifluxons in long Josephson 0-p- junctions. Phys.Rev.B, (66):100508/1-100508/4, 2002.
15. L. B. Ioffe, M. V. Feigelman. Possible realization of an ideal quantum computer in Josephson junction array. Phys.Rev.B, (66):224503-224510, 2002.
16. M. Kardar. Josephson-junction ladders and quantum fluctuations. Phys. Rev. B, (33):3125-3128, 1986.
17. A. Kitaev. Fault-tolerant quantum computation by anyons. Annals of Physics, (303):2-30, 2003.
18. C. S. Lent, D. Tougaw, W. Porod, G. H. Bernstein. Quantum Cellular Automata. Nanotechnology, (4):49-57, 1993.
19. T. P. Orlando, J. E. Mooij, L. Tian, C. H. van der Wal, L. S. Levitov, S. Lloyd, J. J. Mazo. Superconducting persistent-current qubit. Phys.Rev.B, (60):15398-15413, 1999.
20. G. Rotoli, C. De Leo. In: A.V. Narlikar (Ed.), Studies of Josephson Junctions Arrays I, pages 1-38, Nova, New York, 2002.
21. J.R. Weimar. Simulation with Cellular Automata. Logos Verlag. Berlin, 1997.
22. X. G. Wen, Q. Niu. Ground state degeneracy of the fractional quantum Hall states in the presence of a random potential and on high-genus Riemann surfaces. Phys.Rev. B, (41):9377-9396, 1990.
23. A. Shnirman, G. Schon, Z. Hermon. Quantum manipulations of small Josephson junctions. Phys.Rev.Lett., (79):2371-2374, 1997.
24. G. T'Hooft. Can Quantum Mechanics be reconciled with Cellular Automata? Int. Jour. Theor. Phys., (42):349-354, 2003.
25. G. Toth, C. S. Lent. Quantum Computing with quantum-dot cellular automata. Phys. Rev. A, (63):052315/l-052315/9, 2001.